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06/18/2023
Generalized spectrum of second order differential operators: 3D problems
Generalized spectra of differential operators can be related to spectra ...
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04/26/2023
Preconditioned discontinuous Galerkin method and convection-diffusion-reaction problems with guaranteed bounds to resulting spectra
This paper focuses on the design, analysis and implementation of a new p...
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08/21/2022
Efficient numerical method for reliable upper and lower bounds on homogenized parameters
A numerical procedure providing guaranteed two-sided bounds on the effec...
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03/06/2022
Optimal FFT-accelerated Finite Element Solver for Homogenization
We propose a matrix-free finite element (FE) homogenization scheme that ...
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11/23/2021
Comparison of FETI-based domain decomposition methods for topology optimization problems
We critically assess the performance of several variants of dual and dua...
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05/07/2021
Elimination of ringing artifacts by finite-element projection in FFT-based homogenization
Micromechanical homogenization is often carried out with Fourier-acceler...
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01/10/2020